On Z2-graded polynomial identities of verbally semiprime algebras

DOI10.1080/00927879908826548zbMath0921.16015OpenAlexW2145080880MaRDI QIDQ4241640

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Publication date: 14 June 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826548

zbMATH Keywords

graded algebrasalgebras with polynomial identitiesgraded polynomial identitiesCapelli conditionsGrassmann enveloping algebraspolynomial superidentities of associative algebrassemiprime T-ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40) ``Super (or ``skew) structure (16W55)

Related Items (3)

Extended Jacobson Density Theorem for Rings With Skew Derivations ⋮ Verbally prime T-ideals and graded division algebras ⋮ The factorability of T₂-ideals of minimal supervarieties

Cites Work

• The nilpotency of the radical in a finitely generated P.I. ring
• Magnum P.I
• Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
• Group-graded algebras with polynomial identity
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Classification theorems for verbally semiprime algebras

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